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Finding the Fourth Proportional to 30,723.13, 46,084.68 and 8,536.50

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Solution

The fourth proportional to 30,723.13, 46,084.68 and 8,536.50 is: 12,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723.13 : 46,084.68 = 8,536.50 : x
  2. Step 2: Convert to fraction form
    30,723.13/46,084.68 = 8,536.50/x
  3. Step 3: Cross multiply
    30,723.13x = 46,084.68 × 8,536.50
  4. Step 4: Simplify right side
    30,723.13x = 393,401,854.81
  5. Step 5: Solve for x
    x = 393,401,854.81/30,723.13
  6. Step 6: Final answer
    x = 12,804.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.